One line to run them all: SuperEasy massive neutrino linear response in $N$-body simulations

Abstract

We present in this work a novel and yet extremely simple method for incorporating the effects of massive neutrinos in cosmological $N$-body simulations. This so-called "SuperEasy linear response" approach is based upon analytical solutions to the collisionless Boltzmann equation in the clustering and free-streaming limits, which are then connected by a rational function interpolation function with cosmology-dependent coefficients given by simple algebraic expressions of the cosmological model parameters. The outcome is a {\it one-line modification} to the gravitational potential that requires only the cold matter density contrast as a real-time input, and that can be incorporated into any $N$-body code with a Particle--Mesh component with no additional implementation cost. To demonstrate its power, we implement the SuperEasy method in the publicly available \gadgetcode{} code, and show that for neutrino mass sums not exceeding $\sum m_{\nu }\simeq 1$ eV, the total matter and cold matter power spectra are in sub-1\% and sub-0.1\% agreement with those from state-of-the-art linear response simulations in literature. Aside from its minimal implementation cost, compared with existing massive neutrino simulation methods, the SuperEasy approach has better memory efficiency, incurs no runtime overhead relative to a standard $\Lambda$CDM simulation, and requires no post-processing. The minimal nature of the method allows limited computational resources to be diverted to modelling other physical effects of interest, e.g., baryonic physics via hydrodynamics.

arXiv comment31 pages, 11 figures, v2 corresponds to the published version in JCAP

References in corpus (43)

• The cosmological simulation code GADGET-2
• Efficient Computation of CMB anisotropies in closed FRW models
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Massive neutrinos and cosmology
• Precision Measurement of Neutrino Oscillation Parameters with KamLAND
• Final Results from phase II of the Mainz Neutrino Mass Search in Tritium $\beta$ Decay
• Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
• Scaling relations for galaxy clusters in the Millennium-XXL simulation
• Massive Neutrinos and the Non-linear Matter Power Spectrum
• The effect of neutrinos on the matter distribution as probed by the Intergalactic Medium
• Gravitational clustering of relic neutrinos and implications for their detection
• Neutrino mass from Cosmology
• Matter power spectrum and the challenge of percent accuracy
• Cosmology with massive neutrinos I: towards a realistic modeling of the relation between matter, haloes and galaxies
• An efficient implementation of massive neutrinos in non-linear structure formation simulations
• The Effect of Thermal Neutrino Motion on the Non-linear Cosmological Matter Power Spectrum
• Determining the neutrino mass with Cyclotron Radiation Emission Spectroscopy - Project 8
• Neutrino mass in cosmology: status and prospects
• The Mira-Titan Universe II: Matter Power Spectrum Emulation
• Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error
• Grid Based Linear Neutrino Perturbations in Cosmological N-body Simulations
• Higher order corrections to the large scale matter power spectrum in the presence of massive neutrinos
• Resolving Cosmic Neutrino Structure: A Hybrid Neutrino N-body Scheme
• Relativistic N-body simulations with massive neutrinos
• An optimal nonlinear method for simulating relic neutrinos
• An Efficient and Accurate Hybrid Method for Simulating Non-Linear Neutrino Structure
• The Nonlinear Cosmological Matter Power Spectrum with Massive Neutrinos I: The Halo Model
• Reducing Noise in Cosmological N-body Simulations with Neutrinos
• $\nu \mathrm{CO}N\mathrm{CEPT}$: Cosmological neutrino simulations from the non-linear Boltzmann hierarchy
• A Lagrangian Perturbation Theory in the presence of massive neutrinos
• Fully relativistic treatment of light neutrinos in $N$-body simulations
• How to relax the cosmological neutrino mass bound
• Higher-order massive neutrino perturbations in large-scale structure
• KATRIN: A next generation tritium beta decay experiment with sub-eV sensitivity for the electron neutrino mass
• A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos
• Loop corrections to the power spectrum for massive neutrino cosmologies with full time- and scale-dependence
• Neutrino mass and dark energy constraints from redshift-space distortions
• Spoon or slide? The non-linear matter power spectrum in the presence of massive neutrinos
• Fast simulations of cosmic large-scale structure with massive neutrinos
• The cosmic neutrino background as a collection of fluids in large-scale structure simulations
• Fitting functions on the cheap: the relative nonlinear matter power spectrum

Cited by in corpus (16)

• Large-scale dark matter simulations
• An optimal nonlinear method for simulating relic neutrinos
• Beware of Fake $\nu$s: The Effect of Massive Neutrinos on the Nonlinear Evolution of Cosmic Structure
• Euclid: Modelling massive neutrinos in cosmology -- a code comparison
• Probing dark matter interactions with 21cm observations
• Geodesic motion and phase-space evolution of massive neutrinos
• Gravitational-wave event rates as a new probe for dark matter microphysics
• Analytical growth functions for cosmic structures in a $\Lambda$CDM Universe
• A Minimal Model for Massive Neutrinos in Newtonian N-body Simulations
• Improving initialization and evolution accuracy of cosmological neutrino simulations
• BullFrog: Multi-step perturbation theory as a time integrator for cosmological simulations
• Hybrid multi-fluid-particle simulations of the cosmic neutrino background
• Effects of Neutrino Masses and Asymmetries on Dark Matter Halo Assembly
• Measuring neutrino mass and asymmetry with matter pairwise velocities
• Slow neutrinos: non-linearity and momentum-space emulation
• Cosmological Simulations with Massive Neutrinos: Efficiency and Accuracy